GREPhysics.NET: GR8677 #34

GR8677 #34

Problem

GREPhysics.NET Official Solution

Alternate Solutions

Mechanics $\Rightarrow$ }Potential Energy

Recall the lovely relation,

$F_x=-\frac{\partial U}{\partial x} \Leftrightarrow \vec{F}=-\nabla U.<br />$

$U=kx^4\Rightarrow F=-4kx^3$

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Comments

OrrinJelo
2009-08-04 10:37:53

The easiest way is by doing dimensional analysis. (A) is in units of energy, same with (C). (D) is energy times distance. This leaves (B) and (E). (E) is the force associated with gravity, which our potential energy equation looks nothing like the gravitational potential equation. We are left with (B).

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jitin1984
2006-10-27 15:15:32

hey

i cant get enough practice problems for quant. i have got schaum seeries but it has only derivations any one has any material plz i want it

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Mexicorn
2005-11-08 12:10:14

I think you mean $U=kx^4$ instead of $U=kx^5$ for the potential given.

yosun
2005-11-09 02:27:05

Mexicorn: thanks for the typo-alert; it has been corrected.

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